In a recent report, Joe's, a Memphis-style barbecue chain, states that 11% of its customers order for delivery. A random sample of 6 Joe's customers is chosen. Find the probability that at most 1 of them order for delivery. " Do not round your intermediate computations, and round your answer to three decimal places.
Answers
P(X ≤ 1) = P(X = 0) + P(X = 1) ≈ 0.901
So the probability that at most 1 customer in the sample orders for delivery is approximately 0.901, rounded to three decimal places.
To solve this problem, we can use the binomial distribution since we have a fixed number of trials (6) and each trial can result in one of two outcomes (ordering for delivery or not).
Let X be the number of customers in the sample who order for delivery. Then X follows a binomial distribution with parameters n = 6 and p = 0.11 (the probability of ordering for delivery).
We want to find the probability that at most 1 customer orders for delivery. This can be written as:
P(X ≤ 1) = P(X = 0) + P(X = 1)
To calculate these probabilities, we can use the binomial probability formula:
P(X = k) = (n choose k) *\(p^k\)*\((1 - p)^(n - k)\)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n distinct items.
Using this formula, we can calculate:
P(X = 0) = (6 choose 0) * 0.11^0 * \(0.89^6\) ≈ 0.530
P(X = 1) = (6 choose 1) * 0.11^1 * 0.89^5 ≈ 0.371
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Related Questions
which of the following best describes the number below?
Answers
Answer:
perfect square
Step-by-step explanation:
It is not positive because it is negative.
Answer:
D. IMAGINARY
Step-by-step explanation:
That is an imaginary number.
Name Identities Idempotent laws A u A = A AnA = A Associative laws (AU B) U C = Au (B U C) (AnB) nc =An(Bnc) Commutative laws Au B = B U A AnB = BnA Distributive laws Au (B n C) = (Au B) n (Au C) An(B u C) (AnB) u (An C) Identity laws Au 0 = A AnU = A Domination laws Ano =0 Au U = U Double Complement law A = A AnA = U = 0 Au A = U 0 = U Complement laws De Morgans laws AuB = AnB AnB = Au B Absorption laws Au (AnB) = A An(A U B) = A
Answers
The Idempotent laws, Associative laws, Commutative laws, Distributive laws, Identity laws, Domination laws, Double Complement law, Complement laws, and De Morgan's laws are all types of identities that are used in set theory and Boolean algebra. These identities are used to simplify expressions and to prove the equivalence of two expressions.
The Idempotent laws state that the union or intersection of a set with itself is equal to the set itself:
A u A = A
AnA = A
The Associative laws state that the order in which sets are grouped does not matter when taking the union or intersection:
(AU B) U C = Au (B U C)
(AnB) nc =An(Bnc)
The Commutative laws state that the order in which sets are listed does not matter when taking the union or intersection:
Au B = B U A
AnB = BnA
The Distributive laws state that the union or intersection of a set with the intersection or union of two other sets is equal to the intersection or union of the set with each of the other sets:
Au (B n C) = (Au B) n (Au C)
An(B u C) (AnB) u (An C)
The Identity laws state that the union of a set with the empty set is equal to the set itself, and the intersection of a set with the universal set is equal to the set itself:
Au 0 = A
AnU = A
The Domination laws state that the intersection of a set with the empty set is equal to the empty set, and the union of a set with the universal set is equal to the universal set:
Ano =0
Au U = U
The Double Complement law states that the complement of the complement of a set is equal to the set itself:
A = A
AnA = U = 0
Au A = U 0 = U
The Complement laws state that the union of a set with its complement is equal to the universal set, and the intersection of a set with its complement is equal to the empty set:
AuB = AnB
AnB = Au B
De Morgan's laws state that the complement of the union of two sets is equal to the intersection of the complements of the sets, and the complement of the intersection of two sets is equal to the union of the complements of the sets:
AuB = AnB
AnB = Au B
The Absorption laws state that the union of a set with the intersection of the set with another set is equal to the set itself, and the intersection of a set with the union of the set with another set is equal to the set itself:
Au (AnB) = A
An(A U B) = A
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David is making mixed candy bags for trick-or-treaters. He has 45 gummy bears and 18 jelly beans left. He wants to put the same number of both types of candy into every bag. What is the largest number of candy bags he can make?
Answers
help !!! what are the zeros of the function?
f(x)=x^2-5x
Answers
Answer:
f(x) = x² -5x factor this function
x(x-5) = 0 ----> either x =0 , or x -5 =0 then x =5
the two values of x make f(x) =0 are 0 and 5
we can check by substituting these two values
at x = 0 ----> f(0) = 0² - 5 * 0 ---> f(x) =0
at x =5 ----> f(5)= 5² -5 * 5 ---> f(x) =0
Step-by-step explanation:
Find the value of cos
�
W rounded to the nearest hundredth, if necessary.
Answers
Answer:
cos W ≈ 0.27
Step-by-step explanation:
cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WX}{WY}\) = \(\frac{6}{22}\) ≈ 0.27 ( to the nearest hundredth )
If the perimeter of the billiards table is 24 feet, what is the value of x?
Answers
Part A.
The width of the billiards table is: 4x-1
And the length is twice as long as the width. Given this information, the expression for the length is:
\(2(4x-1)\)Use the distributive property to simplify the expression: multiply 2 times 4x, and 2 times -1:
\(2\cdot4x-2\cdot1\)The simplified expression is:
\(8x-2\)Part B.
We have the expression for the width and the length, this is represented for reference in the following diagram:
The rectangle represents the billiards table, and the shorter side is the width, and the longer side the length.
We can complete the sides of the billiards table by repeating the values on the opposite side:
And to calculate the perimeter we consider the following:
Thus, we get:
\(4x-1+8x-2+4x-1+8x-2\)Combining like terms, we get the simplified algebraic expression for the perimeter of the table:
\(24x-6\)Part C.
The perimeter of the table is equal to 24 feet, so we equal the last expression for the perimeter to 24:
\(24x-6=24\)And solve for x by adding 6 to both sides of the expression:
\(\begin{gathered} 24x-6+6=24+6 \\ 24x=30 \end{gathered}\)Divide both sides of the expression by 24:
\(\begin{gathered} \frac{24x}{24}=\frac{30}{24} \\ x=1.25 \end{gathered}\)x is equal to 1.25 feet.
three coins are flipped 32 times. over these 32 trials, how many times would you expect to flip two heads and one tail?
Answers
so, 1 out of 4 times, one gets two heads and one tail in a single trial. Since these coins are tossed 32 times ( 4 x 8), therefore, one must expect two heads and one tail 8 times in these 32 trials.
Expected chances to flip two heads and one tail after flipping three coins 32 times. over these 32 trials are 8times.
What is possible outcomes ?" Possible outcomes is defined as the number of expected chances for given event to occur."
According to the question,
Total number of trials = 32
Possible outcomes for tossing 3 coins = { HHH, HHT, TTH, TTT}
Possible outcomes represents 4trials
Three coins are tossed 32 times times
32 = 4 × 8
Therefore, such sets occurs 8times.
Expected chances for {HHT} to occur in 32 trials = 8 times
Hence, expected chances to flip two heads and one tail after flipping three coins 32 times. over these 32 trials are 8times.
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The two-way frequency table shows the results of a survey of students.
Right-handed
Left-handed
Total
In music program Not in music program Total
43
394
437
15
33
48
427
475
OA. 48
58
How many left-handed students are not in the music program?
Answers
The given two-way Frequency table, there are 33 left-handed students who are not in the music program.
The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.
From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.
the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.
Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program
Number of left-handed students not in the music program = 48 - 15
Calculating this, we find that the number of left-handed students not in the music program is 33.
Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.
In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.
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In the process of producing engine valves, the valves are subjected to a specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped, Assume that after the first grind, 62% of the valves meet the specification, 24% are reground, and 14% are scrapped. Furthermore, assume that of those valves that are reground, 81% meet the specification, and 19% are scrapped. Answer the following questions: given that a valve is scrapped, what is the probability that it was ground twice________
Answers
The probability that a valve was ground twice can be calculated using Bayes' theorem. Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%, and the probability of a valve meeting the specification given that it was reground twice is 100%. Therefore, using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as (0.14 x 0.19) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029. Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.
Bayes' theorem is a mathematical formula used to calculate conditional probabilities. It states that the probability of an event A given an event B is equal to the probability of event B given event A, multiplied by the probability of event A, divided by the probability of event B. In this problem, we want to calculate the probability of a valve being ground twice given that it was scrapped.
To apply Bayes' theorem, we first need to identify the relevant probabilities. We are given that after the first grind, 62% of the valves meet the specification, 24% are reground once, and 14% are scrapped. We are also given that of those valves that are reground, 81% meet the specification, and 19% are scrapped.
Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%. The probability of a valve meeting the specification given that it was reground twice is 100%, since all valves that are reground twice are guaranteed to meet the specification.
Using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as follows:
P(G2|scrapped) = P(scrapped|G2) x P(G2) / P(scrapped)
where P(scrapped|G2) is the probability of a valve being scrapped given that it was reground twice, P(G2) is the probability of a valve being reground twice, and P(scrapped) is the probability of a valve being scrapped.
We already know that P(scrapped|G1) = 0.19, P(scrapped|G2) = 0, P(G1) = 0.24, P(G2) = (1 - 0.62 - 0.24 - 0.14) x P(G1) = 0.027, and P(scrapped) = 0.14.
Plugging in the values, we get:
P(G2|scrapped) = (0 x 0.027) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029
Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.
In summary, we can use Bayes' theorem to calculate the probability of a valve being ground twice given that it was scrapped. We first identify the relevant probabilities, such as the probability of a valve being scrapped given that it was reground once or twice. We then apply Bayes' theorem to obtain the desired probability. In this case, the probability that a valve was ground twice given that it was scrapped is 2.9%.
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My other question
Leon bought 6 books about animals, 9 books about outer space, and 4 books about trains. Each book cost $18. How much did Leon spend on the books?
Answers
Answer:
$342
Step-by-step explanation:
[Total books] 6 + 9 + 4 = 19 books
[Price] 19 * 18 = $342
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
marcus is testing a hair sample from the telogen stage. what is likely to be true about this sample?
Answers
When Marcus tests a hair sample from the telogen stage. The result likely to be true about this sample is there will be a nuclear DNA present.
DNA (Deoxyribonucleic acid) is a polymer comprised of two polynucleotide chains that loop around each other to form a double helix having genetic instructions for the development, functioning, growth and reproduction of all known organisms and many viruses. DNA and ribonucleic acid both are nucleic acids.
Moreover, DNA is the information molecule. It holds the instructions for creating other large molecules, called proteins. These instructions are kept inside each of our cells, distributed among 46 long structures called chromosomes.
Hence, DNA is made of chemical structures called nucleotides. These structures are made of three parts: a sugar group, a phosphate group, and one of four types of nitrogen bases.
Hence the correct option is c.
--The given question is incomplete, the complete question is
''Marcus is testing a hair sample from the telogen stage. What is likely to be TRUE about this sample?
A. There will be several medullas present.
B. There will be mitochondrial DNA present.
C. There will be nuclear DNA present.
D. There will be very little DNA present."--
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i’m confused..
The explicit formula for a geometric sequence is f(n) = 5(- 2)"-1, Give the recursive formula for the
sequence.
Answers
Answer:is: {a1=5an+1=−3an
Explanation: I assume the formula is: an=5(−3)n−1. To calculate the recursive formula first we can calculate some terms of the sequence: a1=5⋅(−3)1−1=5⋅(−3)0=5a2=5⋅(−3)2−1=5⋅(−3)1=−15a3=5⋅(−3)3−1=5⋅(−3)2=45From these calculations we see that the first term is a 1=5 and each other term comes from multiplying previous one by −3. This algorithm can be written as the recursive formula:{a1=5an+1=−3an
Hi guys! I have another question... Can you help? Will give 15 pts 2 screenshots below same problem. 1 of them is the problem and the other one is abt the rules.
Answers
Answer:
It is SSS
You already have the two sides, and you can see the two triangles share a common line. Therefore you know the unknown is a side.
Solve for x.
9x + 5 = 77
X =??
Answers
Answer:
8
Step-by-step explanation:
9x+5=77
9x=77-5
9x=72
x=72/9
Answer:
X=8
Step-by-step explanation:
77-5=72
72/9=8
x=8
URGENT!
A sociologist is studying the effect of having children within the first two years of marriage on the divorce rate. Using hospital birth records, she selects a random sample of 200 couples that had a child within the first two years of marriage. Following up on these couples, she finds that 80 couples are divorced within five years. Which of the following is closest to the sample size you would need to estimate with a margin of error of 0.02 with 90% confidence? Use p hat= 0.4 from the first sample as an approximation of p.
a. 3842
b. 2305
c. 600
d. 1624
e. 24
Answers
6171819
9
1
TH!
How many triangles do you see in the diagram?
Complete the explanation
There are
small triangles.
There are
There are
There is
triangles made of 2 triangles and 1 rhombus.
triangles made of 3 triangles and 3 rhombuses
triangle made of 4 triangles and 6 rhombuses.
large outer triangle
triangles in all
Lastly, there is
There are
Answers
Answer:
I am just trying I think the Ans is 7
17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
Find the dimensions of the rectangle.
Answers
Answer:
\( \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}\)
\( \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}\)
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle = w + 3
Perimeter of a rectangle = 28 inches
To find : dimensions of the rectangle ( length and width )
Finding the width of a rectangle ( w )
\( \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}\)
\( \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}\)
\( \dashrightarrow{ \sf{28 = 2(2w + 3)}}\)
\( \dashrightarrow{ \sf{28 = 4w + 6}}\)
\( \dashrightarrow{ \sf{4w + 6 = 28}}\)
\( \dashrightarrow{ \sf{4w = 28 - 6}}\)
\( \dashrightarrow{ \sf{4w = 22}}\)
\( \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}\)
\( \dashrightarrow{ \sf{w = 5.5 \: inches}}\)
Width of a rectangle = 5.5 inches
Now, replacing / substituting the value of w in order to find the length of a rectangle
\( \sf{ length = 3 + w}\)
\( \dashrightarrow{ \sf{length = 3 + 5.5}}\)
\( \dashrightarrow{ \sf{length = 8.5 \: \: inches}}\)
Length of a rectangle = 8.5 inches
Hope I helped!
Best regards! :D
What are the coordinates of(D0.25∘rx-axis)(ABCD) for A(2, 6), B(0, 0), C(-5, 8), and D(-2, 10)?
(express ordered pairs as decimal)
Answers
Answer: The coordinates of the image of a figure after a rotation of 0.25 degrees about the x-axis can be found using the following formulas:
x' = x
y' = y * cos(θ) - z * sin(θ)
z' = y * sin(θ) + z * cos(θ)
where (x, y, z) are the original coordinates and (x', y', z') are the new coordinates. In this case, we only need to find the y' coordinate because the rotation is about the x-axis and the x coordinate will not change.
For each point, we can use the formula to find the y' coordinate:
A (2, 6) -> y' = 6 * cos(0.25) - 0 * sin(0.25) = 5.99911... ~ 6
B (0, 0) -> y' = 0 * cos(0.25) - 0 * sin(0.25) = 0
C (-5, 8) -> y' = 8 * cos(0.25) - 0 * sin(0.25) = 7.99823... ~ 8
D (-2, 10) -> y' = 10 * cos(0.25) - 0 * sin(0.25) = 9.99649... ~ 10
So, the new coordinates after rotating 0.25 degrees about the x-axis are:
A (2, 6) -> (2, 6)
B (0, 0) -> (0, 0)
C (-5, 8) -> (-5, 8)
D (-2, 10) -> (-2, 10)
The coordinates of the points have not changed after the rotation because the rotation angle is very small.
Step-by-step explanation:
Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side JG
Round your answer to the nearest tenth.
F
20
57-5
G
I
с
E
H
40
D
Answers
The measure of side JG is approximately 115 units in the quadrilateral GHIJ.
What is quadrilateral ?
A quadrilateral is a four-sided polygon, which means it is a closed figure with four straight sides. The word "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."
Since quadrilateral CDEF is similar to quadrilateral GHIJ, the corresponding sides are proportional.
Let x be the length of side JG. Then we have:
JG/DE = HI/CF
Substituting the given values, we get:
x/57.5 = 40/20
Simplifying, we get:
x = (57.5 * 40)/20 = 115
Therefore, the measure of side JG is approximately 115 units.
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f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros
Answers
Answer:
f(x) = -1/2x² + 3/2x - 2
f(0) = (-1/2 × 0²) + (3/2 × 0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
THANK YOU!!( ◜‿◝ )♡
Bases angles theorems and HL theorems
PLEASE HELP
Answers
Answer:asdjf;alksjdf;oajfeowijf;askf;oiasjef;awejf;oaisejf;awe;ifo
Step-by-step explanation:
right triangle abc is shown. triangle a b c is shown. angle a c b is a right angle and angle c b a is 50 degrees. the length of a c is 3 meters, the length of c b is a, and the length of hypotenuse a b is c. which equation can be used to solve for c? sin(50o)
Answers
The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).
In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).
The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.
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length A is 4 ft. after a dilation is performed length B is 7ft. what was the scale factor used?
Answers
4 x 1.75 = 7 so that is the answer
2x + 16 + 5x - 17
Measuring Segments
Answers
Answer:
simplfy) 7x-1
Step-by-step explanation:
hope this helps
The table below represents a linear relationship. What is the y intercept? A. b=0 B. b=1 X 10 12 14 16 y 23 27 31 35 c. b=2 D. b=3
Answers
Answer:
wish I could help ya but it is A yet but sure
Q4 (15 points)
A borrowing sovereign has its output fluctuating following a uniform distribution U[16, 24]. Suppose that the government borrows L = 6 before the output is known; this loan carries an interest rate ri.
The loan is due after output is realized. 0.5 of its output.
Suppose that if the government defaults on the loan, then it faces a cost equivalent to c =
The loan is supplied by competitive foreign creditors who has access to funds from world capital markets, at a risk-free interest rate of 12.5%.
** Part a. (5 marks)
Find the equilibrium rī.
** Part b. (5 marks)
What is the probability that the government will repay its loan?
* Part c. (5 marks)
Would the borrowing country default if r = r? Prove it.
Answers
a. The equilibrium interest rate, is determined by the risk-free interest rate, the probability of repayment, and the cost of default.
b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.
c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.
a. To find the equilibrium interest rate, we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.
b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.
c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.
Calculations and further details would be required to provide specific numerical answers for each part of the question.
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Which of them is correct? I'm like, slow right now.
Answers
Answer:
c
Step-by-step explanation:
.
.
.
.
.
.
.
.
................
Answer:
its the one you have clicked in the pic E
Step-by-step explanation:
Determine algebraically whether the given function is even, odd, or neither. f(x) = -9x3 O Even O Odd O Neither
Answers
The function f(x) = -9x^3 is odd because it is not at the initial state after replacing x by -x.
By taking a function, replacing each x with an equal value, simplifying it, and then comparing the outcomes to what you had initially, you can "determine algebraically" whether it is even, odd, or neither.
If the function is identical to what you started with that is, if f(-x) = f (x), with all the signs remaining the same then the function is even. If the function is exactly the opposite of what you started with (i.e., if f(-x) = -f(x), with all the signs switched this is known as an odd function.
The function is f(x) = -9x^3
Now substitute -x in place of x.
f(-x) = -9(-x)^3
f(-x) = -9 × -(x)^3
f(-x) = 9x^3
As we can see that the function is not in the initial position so the function is odd.
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A pelican starts at 60 feet above sea level it descend 60 feet to catch a fish
Answers
Answer:
(+)60 - 60 = 0
Step-by-step explanation:
The pelican is now at sea level
can you guys please solve it needed asap
-16 + 13n = -8 - 5n
Answers
Step-by-step explanation:
\(\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}\)
Firstly we have to take variables to L.H.S and numbers to R.H.S
\(13n + 5n = - 8 + 16 \\ 18n = 8 \\ n = \frac{8}{18} \\ n = \frac{4}{9} \)
Hope it helps
-16+13n=-8-5n
+5n +5n
-16+8n=8
+16 +16
8n=24
Divide both sides by 8
n=3